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Arc Measure and Length QUIZ - Printable Mathematics Worksheets - Wayground

Arc Measure and Length QUIZ

20 questions

9th - 11th Grade

Mathematics

Arc Measure and Length QUIZ is a free printable mathematics worksheet for Grades 9–11 that gives students 20 fill-in-the-blank problems involving circles. The first set asks students to determine the measures of named arcs and solve for unknown values, while the later problems require calculating the lengths of bolded arcs, rounding answers to the nearest tenth, and including the correct unit. This worksheet helps students distinguish arc measure from arc length and apply circle relationships in increasingly practical calculations. Students must read labeled circle diagrams, identify the requested minor or major arc, solve for missing values, and report numerical results accurately. Use it for independent practice, homework, or an assessment after instruction on arcs and circle measurements. The worksheet is free to download and print and includes a complete answer key for efficient checking.

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Worksheets

Arc Measure and Length QUIZ

Total questions: 20

Name
Class
Date
1.

Given the circle below, find the measure of arc PST.

(a)  

2.

Given the circle below, find the measure of arc AB.

(a)  

3.

Given the circle below, find the measure of arc KM.

(a)  

4.

Given the circle below, find the value of x.

(a)  

5.

Given the circle below, find the value of x.

(a)  

6.

Given the circle below, find the measure of arc AB.

(a)  

7.

Given the circle below, find the measure of arc SUV.

(a)  

8.

Given the circle below, find the measure of arc KL

(a)  

9.

Given the circle below, find the measure of arc JKM

(a)  

10.

Given the circlce below, find the measure of arc ST

(a)  

11.

Given the circle below, find the measure of arc CD

(a)  

12.

Given the circle below, find the length of the bolded arc. (Round to the nearest tenth- don't forget the unit!)

(a)  

13.

Given the circle below, find the length of the bolded arc. (Round to the nearest tenth- don't forget the unit!)

(a)  

14.

Given the circle below, find the length of the bolded arc. (Round to the nearest tenth- don't forget the unit!)

(a)  

15.

Given the circle below, find the length of the bolded arc. (Round to the nearest tenth- don't forget the unit!)

(a)  

16.

Given the circle below, find the length of the bolded arc. (Round to the nearest tenth- don't forget the unit!)

(a)  

17.

Given the circle below, find the length of arc MPN. (Round to the nearest tenth- don't forget the unit!)

(a)  

18.

Given the circle below, find the length of arc WXY. (Round to the nearest tenth- don't forget the unit!)

(a)  

19.

Given the circle below, if RT= 12, find the length of arc ST. (Round to the nearest tenth- don't forget the unit!)

(a)  

20.

Given the circle below, find the length of arc WUY. (Round to the nearest tenth- don't forget the unit!)

(a)  

Answer Key

Arc Measure and Length QUIZ

Total questions: 20

1.
254
2.
80
3.
159
4.
19
5.
12
6.
27
7.
239
8.
159
9.
201
10.
21
11.
90
12.
74.6
13.
36.7
14.
49.5
15.
47.1
16.
9.4
17.
27.5
18.
68.1
19.
8.8
20.
24.1

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FAQs

What does the Arc Measure and Length QUIZ worksheet cover?

This Grade 9–11 mathematics worksheet contains 20 fill-in-the-blank problems on finding named arc measures, solving for unknown values, and calculating the lengths of bolded arcs. It builds skill by requiring students to interpret labeled circle diagrams, distinguish an arc’s measure from its physical length, round arc-length results to the nearest tenth, and include the appropriate unit.

How can I use this worksheet to teach arc measure and arc length?

Introduce the worksheet by modeling how to read the requested arc from a labeled circle and separate arc-measure questions from arc-length questions. Have students explain which information in each diagram they use, then complete the named-arc problems before applying the arc-length calculation problems. Review the rounded answers and units together so students connect the diagram, calculation, and final response.

What mistakes should I watch for when students complete this arc measure and length worksheet?

Watch for students giving the measure of the wrong named arc, especially when a three-letter name identifies a major arc rather than the shorter route between two endpoints. In the arc-length items, students may report an angle or arc measure instead of a length, round too early, or omit the required unit. Check that each fill-in response matches the requested quantity and rounding instruction.

How do I assign and grade this Arc Measure and Length worksheet?

You can assign this worksheet as a printable PDF or as a digital quiz on Wayground. It includes a complete answer key, and printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable format also gives schools an option for reducing screen time.

How does this worksheet build from finding arc measure to calculating arc length?

The worksheet begins with fill-in-the-blank problems that ask students to find named arc measures or solve for values, then moves to bolded-arc problems requiring arc-length calculations. This progression helps students use information from circle diagrams first and then apply it to a measured length, including rounding each result to the nearest tenth and recording a unit.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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